Giải thích các bước giải:
\(\begin{array}{l}
Giao\,diem\,voi\,truc\,hoanh\,A\left( {\dfrac{{ - m - 3}}{{m - 2}};0} \right)\,\,\left( {m \ne 2} \right)\\
Giao\,diem\,voi\,truc\,tung\,B\left( {0;m + 3} \right)\\
\Rightarrow OA = \dfrac{{\left| {m + 3} \right|}}{{\left| {m + 2} \right|}};OB = \left| {m + 3} \right|\\
{S_{OAB}} = \dfrac{1}{2}OA.OB = 2\\
\Leftrightarrow \dfrac{{\left| {m + 3} \right|}}{{\left| {m + 2} \right|}}.\left| {m + 3} \right| = 4 \Leftrightarrow {\left( {m + 3} \right)^2} = 4\left| {m + 2} \right|\\
TH1:\,{\left( {m + 3} \right)^2} = 4\left( {m + 2} \right)\,\,\left( {m > - 2} \right)\\
\Leftrightarrow {m^2} + 2m + 1 = 0 \Leftrightarrow {\left( {m + 1} \right)^2} = 0 \Leftrightarrow m = - 1\left( L \right)\\
TH2:{\left( {m + 3} \right)^2} = - 4\left( {m + 2} \right)\,\left( {m < - 2} \right)\\
\Leftrightarrow {m^2} + 10m + 17 = 0 \Leftrightarrow \left[ \begin{array}{l}
m = - 5 + 2\sqrt 2 \left( N \right)\\
m = - 5 - 2\sqrt 2 \left( L \right)
\end{array} \right.
\end{array}\)
